A 2 cm x 2 cm x 2 cm cube holds 468 grains of rice. How many grains of rice would fit in a box with
dimensions 6 cm x 2 cm x 12 cm?

Respuesta :

Let the Volume of the first cube be V1

V1 = 2 * 2 * 2

= 8 cm*3


Let the Volume of the second cube be V2

V2 = 6 * 2 * 12

= 144 cm*3


Now, cube1 with volume of 8 cm*3 holds 468 grains of rice.

Thus, 1 cm*3 volume can hold 58.5 grains of rice ( 468 / 8 = 58.5)

Cube2 has volume of 144 cm*3.

Hence, it can hold 8424 grains of rice ( 144 * 58.5 = 8424)